Arandom sample of 250 students at a university finds that these students take a mean of 15.3 credit hours per quarter with a standard deviation of 1.6 credit hours. estimate the mean credit hours taken by a student each quarter using a 95% confidence interval. round to the nearest thousandth.

OR

(15.102, 15.498)

Step-by-step explanation:

The formula to find the confidence interval is given by :-

, where n is the sample size

= sample standard deviation.

= Sample mean

= Two tailed z-value for significance level of .

Given : Confidence level = 95% = 0.95

Significance level =

sample size : n= 250 , which is extremely large ( than n=30) .

So we assume sample standard deviation is the population standard deviation.

thus ,

By standard normal  distribution table ,

Two tailed z-value for Significance level of 0.05 :

Then, the 95% confidence interval for the mean credit hours taken by a student each quarter :-

Hence, the mean credit hours taken by a student each quarter using a 95% confidence interval. =(15.102, 15.498)

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

found it xd it ok yt